超凸度量空间中非扩张映象公共不动点的逼近  

Approximation for Common Fixed Point of Nonexpansive Mappings in Hyperconvex Metric Spaces

作　　者：周宜波[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院

出　　处：《温州大学学报（自然科学版）》2011年第2期13-18,共6页Journal of Wenzhou University(Natural Science Edition)

摘　　要：引入了具混合误差的N-步迭代序列,并在超凸度量空间中得到了具混合误差的N-步迭代序列收敛于有限个具有公共不动点的k-强压缩非扩张型映象的一个公共不动点,这个结论推广和发展了最近的相关结果,使得这些结果的适用范围更广.This paper introduced N-step iterative sequence with mixed errors. It was proved that the N-step iterative sequence with mixed errors converges to a common fixed point of a finite family of k-strong contractive nonexpansive mappings in hyperconvex metric space. The corresponding results in the recent literature are generalized and improved. And the application scope of these results are expanded.

关 键 词：超凸度量空间 非扩张映象 混合误差 迭代序列 公共不动点 

分 类 号：O177.91[理学—数学]